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Finding the Fourth Proportional to 8,551.85, 11,809.70 and 8,085.93

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Solution

The fourth proportional to 8,551.85, 11,809.70 and 8,085.93 is: 11,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551.85 : 11,809.70 = 8,085.93 : x
  2. Step 2: Convert to fraction form
    8,551.85/11,809.70 = 8,085.93/x
  3. Step 3: Cross multiply
    8,551.85x = 11,809.70 × 8,085.93
  4. Step 4: Simplify right side
    8,551.85x = 95,492,353.13
  5. Step 5: Solve for x
    x = 95,492,353.13/8,551.85
  6. Step 6: Final answer
    x = 11,166.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.